7970688 has 192 divisors, whose sum is σ = 27209520. Its totient is φ = 2211840.

The previous prime is 7970659. The next prime is 7970693. The reversal of 7970688 is 8860797.

7970688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215406 + ... + 215442.

Almost surely, 2^7970688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604760).

7970688 is an abundant number, since it is smaller than the sum of its proper divisors (19238832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7970688 is a wasteful number, since it uses less digits than its factorization.

7970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7970688 is about 2823.2406911208. The cubic root of 7970688 is about 199.7554343936.

The spelling of 7970688 in words is "seven million, nine hundred seventy thousand, six hundred eighty-eight".